To use the distributive property, we "distribute" a value on the outside of a set of parentheses to all of the values on the inside of the parentheses. For example...
6(3 + 9) = 6*3 + 6*9
For your problem, you only have one value 13.99, but we can split it apart to make it a little easier to work with (like with mental math). We can say that 13.99 is the same as 10 + 3.99. Now we can take it and multiply by 9 with the distributive property...
9(10 + 3.99) =
9*10 + 9*3.99 =
90 + 35.91 =
$125.91
Answer:
- (a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
- (b) A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
Step-by-step explanation:
A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. In contrast, a series is the sum of the numbers in a sequence. For this multiple choice, choose the best answer that defines what a sequence is.
(a) What is the difference between a sequence and a series?
- A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers.
- A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
- A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers.
- A sequence is an ordered list of numbers whereas a series is an unordered list of numbers.
- A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers.
When working with sequences and series, we look at what happens at negative and positive infinity. When a series converges, it approaches a finite number. When a series diverges, it does not approach a finite number but infinity.
(b) What is a convergent series? What is a divergent series?
- A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent.
- A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent.
- A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent.
- A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
- A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
<span>c = w * t*k
</span><span>198 = 220*5k
</span><span>198------ = k = .18220(5)
c = .18(175)(6) = 189
</span>
Speed of snail 1 = 3.795 cm/minute
Speed of snail 2 = 4.795 cm/minute
<em><u>Solution:</u></em>
Given that,
Total distance = 189 cm
They crawl towards each other at rates that differ by 1 cm a minute
Let the speed of snail 1 be "x"
Let the speed of snail 2 be "x + 1"
Total time = 22 minutes
Since the snails are moving towards each other,
Speed = x + x + 1 = 2x + 1
<em><u>How fast is each snail crawling?</u></em>
Thus,
Speed of snail 1 = 3.795 cm/minute
Speed of snail 2 = 3.795 + 1 = 4.795 cm/minute
1. 6a-2b+4
2. 3a-3b+9
3. -2x-8=-10
-2x=-2
X=1
4. -x+4=5
-x=1
X=-1
